Answer:
(y+7)=5/6(x+6)
Step-by-step explanation:
For this problem we need to use Point-Slope Form to write an equation.
We already have the point, (-6,-7), so all we need now is the slope, which we know is perpendicular to the line 6x+5y=30.
First, let's find the slope of 6x+5y=30 by converting it into Slope-Intercept Form, which is y=mx+b. m is the slope.
6x+5y=30
5y=-6x+30
y=-6/5x+6
So the slope of this line is -6/5, but we need the slope of the line is perpendicular to this line.
When a line is perpendicular to another, their slopes are negative reciprocals to one another, or opposite reciprocals. For example, a line that is perpendicular to another line that has a slope of 3/4 will have a slope of -4/3. Flip the numerator and denominator to find the reciprocal and add a negative.
x
So the negative reciprocal of -6/5 is 5/6, so that is our slope.
Now we can assemble our equation, here is the Point-Slope Form:
[tex](y -y_{1}) =m(x-x_{1})[/tex]
again, m is our slope.
[tex]y_{1}[/tex] and [tex]x_{1}[/tex] represent the coordinates of the point that this line passes through, (-6, -7).
Let's plug in the y, x, and m values:
(y-(-7))=5/6(x-(-6))
Simplify:
(y+7)=5/6(x+6)
That is our final answer.
Find the remainder when x^2 + 3x - 11 is divided by x - 2
-13
1
-1
-11
Answer: -1
Step-by-step explanation: I just took a quiz with this question on it and -1 is the right one
Jake lives 15 times as far away from the mountains as Larry. If Larry lives 32 miles from the mountains, how many miles from the mountains does Jake live?
Answer:
480 miles
Step-by-step explanation:
50 Points please help!!
A motorized float in a Thanksgiving Day parade is traveling north at a speed of 16.0 km/h. Part of a "Pilgrim" woman's role in the thematic vignette is to walk across the float to call the men to dinner. She walks at a speed of 3.22 km/h east as the float passes the judge's booth, which is on the west side of the street. What is the woman's velocity with respect to the judge?
Answer:
16.32 N11.38°E km/h
Step-by-step explanation:
16.0∠0° +3.22∠90° ⇒ (x, y) = (3.22, 16.0) ⇒ (r, θ) =
(3.22, 16.0) ⇒ (r, θ) = (√(3.22² +16²), arctan(3.22/16)*) = (16.32, 11.38°)
The woman's velocity is 16.32 km/h in a direction that is 11.38° east of north.
_____
This is her velocity in any stationary frame of reference.
____
* We have used North as the reference for the angle, measured CW.
When negative five is subtracted from a number the result is 10. Find the number.
15
5
-5
-15
help me solve:
-15x + 4 ≤ 34 AND -6x + 70 > -2
Answer:
-2 ≤ x < 12
Step-by-step explanation:
-15x +4 ≤ 34
Add 15x-34 to both sides
-30 ≤ 15x
Divide by 15
-2 ≤ x
__
-6x +70 > -2
Add 6x +2 to both sides
72 > 6x
Divide by 6
12 > x
__
The two solution spaces overlap. Since the AND of the two inequalities is involved, the solution of both is just that part of the number line where there is overlap.
The solution is ...
-2 ≤ x < 12
-f(a) Think of this as “the opposite of f(a).”
-f(a)=
F) does f(3)=f(-3)? (Yes or No)
D) does f(a) = f(-a)? ( Yes or No)
Answer:
F) yes
D)no
no
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8n + 4(1+5n) = -6n -14
Answer:
n = -.55
Step-by-step explanation:
8n + 4(1+5n) = -6n -14
8n + 5+20n = -6n -14
28n + 5 = -6n -14
34n + 5 = -14
34n = -19
n = -.55
Answer:
34n = -18/ 17n = 9
Step-by-step explanation:
Multiply (1+5) by 4. Combine like terms. Divide.
a triangle has the following two angle measures:
based on the angles given the third angle must have a measure of _______?
Answer:
62°
Step-by-step explanation:
Given that the triangle has two angle measures of 41° and 77°.
All the angles in a triangle must add up to 180° (e.g. 20° + 60° + 100°). So we write a simple equation to solve for the mystery angle measure:
Let x = the missing measure
[tex]41 + 77 + x = 180[/tex]
Now that we have our equation, let's start solving it. First, we need to add 41 and 77 together which simplifies the equation: [tex]118 + x = 180[/tex]
Then we subtract 118 from both sides to isolate x - this will give us the value of this variable: [tex]x = 62[/tex]
Therefore, the third angle must have a measure of 62°.
A hot air balloon is released at ground level, and it rises into the air at a constant rate. After 5 seconds the height of the balloon is 20 feet. The balloon continues to rise at the same rate.
Which table shows the relationship between the time in seconds, x , and the height of the balloon in feet, y?
Answer: D
Step-by-step explanation:
If after 5 seconds the height was 20 feet then in 10 seconds it will be 40 feet and in 20 seconds it will be 80 seconds.
To get from 5 to 10 you multiply by 2
To get from 20 to 40 you multiply by 2.
Since you have a constant change then it works for D only.
The linear equation that represents the height of the balloon at a time will be y = 4x. Then the correct option is D.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
A hot air balloon is launched from the ground and climbs into the air at a consistent velocity. The balloon's elevation is 20 feet after 5 seconds. The balloon keeps rising at the same rate.
The height per second is given as,
m = 20 / 5
m = 4 ft/sec
Then the equation is given as,
y = 4x
At x = 10 sec, then the value of y will be
y = 4 (10)
y = 40 ft
At x = 20 sec, then the value of y will be
y = 4 (20)
y = 80ft
The linear equation that represents the height of the balloon at a time will be y = 4x. Then the correct option is D.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ2
In June, Clarissa used 115 gigabytes of data on her cell phone. Given that June has 30 days, how much data did she use on average per day?
Answer:
3.8333333333...
Step-by-step explanation:
you take how many gigabytes (115) and divided it by the 30 days, giving you 3.833333333...
PLEASE HELP!!
Which graph shows a reflection of the rectangle across the horizontal dotted line?
Answer:
B
Step-by-step explanation:
The answer is B because if its being reflected its like symmetry horizontally
Sorry if this made no sense :c
Have a good day!
The correct option is Option D: The figure in Option D is reflection about the dotted horizontal line.
What is reflection?Reflection is the geometrical transformation of the figure about an axis, without changing the size and shape of the image in which every point is at same distance from the axis as in the reflected image.
Here the original image is in the 2nd quadrant.
the reflection axis is horizontal and situated in the 3rd and 4th quadrants.
So by reflecting about that axis without changing the size and shape of the image for which the distance of the original image from the axis will be equal to the distance of the reflected object from the axis.
As original image is in the 2nd quadrant the reflected will be drawn at the 3rd quadrant opposite to the original image.
Checking all the options only in Option B and option D have the reflected image at the 3rd quardant. But in Option B the reflected image is situated on the reflection axis which is against the rule of reflection.
Therefore The correct option is Option D: The figure in Option D is a reflection about the dotted horizontal line.
Learn more about reflection
here: https://brainly.com/question/1908648
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What’s the midpoint of GO on a number line from -4 to 4
Answer:
midpoint is 0
Step-by-step explanation:
A local jewelry store sells class rings. The store engraves a name and date on the ring and sells it using a markup rate of 340%. Write an equation that can be used to find the amount of markup y on the cost of a ring x.
The proportional equation that can be used to find the amount of markup y on the cost of a ring x is given by:
[tex]y = 3.4x[/tex]
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:[tex]y = kx[/tex]
In which k is the constant of proportionality.In this problem, the markup rate is of 340%, hence [tex]k = \frac{340}{100} = 3.4[/tex].
Then, the equation is:
[tex]y = 3.4x[/tex]
You can learn more about proportional equations at https://brainly.com/question/25067191
solve for y
7x-5y=17
Answer: 7*x-5*y-(17)=0
Step-by-step explanation:
PLEASE HELP ASAP!! I WILL GIVE BRAINLIEST FOR FASTEST AND CORRECT ANSWER!!!!
(IF YOU ONLY ANSWER FOR POINTS I WILL REPORT YOU :)
Line segment AB is shown on a coordinate grid:
1.) A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A line segment AB is shown with A as ordered pair 1, 3 and B as ordered pair 5, 3.
The line segment is reflected about the y-axis to form A′B′. Which statement describes A′B′?
A. A′B′ is half the length of AB.
B. A′B′ and AB are equal in length.
C. A′B′ is greater than twice the length of AB.
D. A′B′ and AB are perpendicular.
2.) Line segment CD is shown on a coordinate grid:
A coordinate plane is shown. Line segment CD has endpoints 1 comma 2 and 1 comma negative 1.
The line segment is rotated 90 degrees counterclockwise about the origin to form C′D′. Which statement describes C′D′?
A. C′D′ and CD are equal in length.
B. C′D′ is parallel to CD.
C. C′D′ is half the length of CD.
D. C′D′ is greater than twice the length of CD.
3.) A shape is shown on the graph:
A coordinate plane is shown. Triangle ABC has vertices 3 comma 0, 3 comma negative 3, and 1 comma negative 3.
Which of the following is a reflection of the shape?
A.) A coordinate plane is shown. A triangle has vertices 3 comma 0, 1 comma 0, and 3 comma 3.
B.) A coordinate plane is shown. A triangle has vertices 2 comma 4, 2 comma 1 and 4 comma 4.
C.) A coordinate plane is shown. A triangle has vertices negative 1 comma 0, negative 1 comma negative 3, and negative 3 comma negative 3.
D.) A coordinate plane is shown. A triangle has vertices at negative 3 comma 0, negative 3 comma negative 3, and negative 1 comma negative 3.
A rotation is shown in the drawing:
A blue triangle is shown labeled Figure K. A dotted line shows a right turn to a green triangle labeled Figure K prime. The new image is directly above the original.
Which statement best describes the rotation?
A. Clockwise 90-degree rotation
B. Clockwise 180-degree rotation
C. Counterclockwise 90-degree rotation
D. Counterclockwise 180-degree rotation
Answer:
1) choice B, they are equal in length
2) choice A, theyre equal in length
3) Choice D, (-3,0) (-3, -3) (-1, -3)
4) Choice A, Clockwise 90- degree rotation
Step-by-step explanation:
The statements which describe A'B' is:
A'B' and AB are equal in length ⇒ (B)
Step-by-step explanation:
Let us take about reflication:
⇒ Reflections are mirror images, means the shape or the size of
the figure does not affect by reflection, think of "folding" the
graph over the y-axis or the x-axis
⇒ On a grid, you used the formula (x, y) → (-x, y) for a reflection in
the y-axis and used the formula (x, y) → (x, -y) for a reflection in
the x-axis.
In our question segment AB, where A = (1, 3) and B = (5, 3) is
reflected about the y-axis
By using the rule above
∴ A' =(-1, 3)
∴ B' = (-5,3)
∵ Reflection does not change the shape or the size of the original figure
∴ Line segment A'B' has the same length of line segment AB
The correct answer is:
A'B' and AB are equal in length
You can check your answer by finding the lengths of AB and A'B'
∵ The length of AB = 5 - 1 = 4 units
∵ The length of A'B' = -1 - (-5) = -1 + 5 = 4 units
∴ AB = A'B'
Note:
If the y-coordinates of two points are equal, then the line joining them is horizontal and its length is the difference between the x-coordinates of the two points.
In a cinema theatre, why do we normally not hear echoes even though the sounds are loud?
Answer:
An echo is formed as a result of reflection of the original sound which returns to the listener. You might have experienced Echo in an EMPTY ROOM but no echo is produced after the room is occupied. To avoid echo from being produced the echo has to be absorbed. Echo in a cinema theatre is absorbed by the WALLS of the theatre.
They are not plain. The walls are corrugated or shaped to form tiny holes or empty spaces to ABSORB the ECHO. Modern Theatre's have ABSORBENT materials sticked to the walls of the theatre.
An echo is an unpleasant sound heard after a produced sound got reflected from a plain surface. It is majorly eliminated in a cinema theater by:
the use of sound absorbing materials in the construction of the wallsabsorption of sound waves by the body and cloths of viewers
Echo is a sound produced due to the reflection of a produced sound by a plain surface. Its continuous occurrence leads to reverberation. It causes distortion of produced sound which makes it unpleasant to hearing. Thus the need for a mechanism which would reduce it to a bearable level.
To reduce or eliminate echo, the walls of the cinema theater had been constructed with sound absorbing materials which may include special pads. These would have been incorporated into the walls, and would absorb most unwanted sounds produced in the theater.
Also the cloths worn by viewers absorbs some of the unwanted sound, thus assisting to indirectly reduce echo.
Visit: https://brainly.com/question/25709979
The ratios in an equivalent ratio table are 3:12, 4:16, and 5:20. If the first number in the ratio is 10, what is the second number?
Answer:
10:40
Step-by-step explanation:
Solve for y
2y + 6 = 1 - 3y
Answer:
-1
Step-by-step explanation:
2y+6=1 -3y
add three to both sides and minus 6 from both sides becasue you want to get y by itself
5y=-5
now both sides by 5
y=-1
Answer:
y=−1
Step-by-step explanation:
2y+6=1−3y
Step 1: Simplify both sides of the equation.
2y+6=1−3y
2y+6=1+−3y
2y+6=−3y+1
Step 2: Add 3y to both sides.
2y+6+3y=−3y+1+3y
5y+6=1
Step 3: Subtract 6 from both sides.
5y+6−6=1−6
5y=−5
Step 4: Divide both sides by 5.
y=−1
Jane builds toy trains that have 5 train
cars each. She uses 20 train cars in all.
How many toy trains does Jane make?
toy trains
Answer:
Here's how to solve it.
Step-by-step explanation:
Okay,
from what I understand she has 20 train cars total.
She uses 5 for each train.
So to solve you use simple division.
20 / 5 = 4
To check your answer substitute 4 in the equation so 4 × 5 does equal 20.
So it would be 4.
if I join the gym for a start up fee of $40 and a monthly fee of $10, what is the range?
Which expressions are equivalent to x+4 : when X=0? Select three options. X 4 3 3 2x2 + 4x WY x2 + 4x
Answer:
a,c,d
Step-by-step explanation:
One number is 4 more than three times a smaller number. If twice the lager number is decreased by three times the smaller number, the result is 32. Write an equation and solve to determine the numbers.
Evaluate -2x^2 2y, if x = -3 and y = -1.
ANSWER is 16.
look at the photo to see the step by step equation :)
Which expression is equivalent to -8(k+2) ?
This is 1.5 Finding the missing Angle Relationship. Can someone help me or correction, (DO) lol Problems 1-10. :) thank you.
Which of the following is an equivalent representation of 5^-4 ?
1/81
1/12
1/9
1/625
Answer:
It would be 1/625
Step-by-step explanation:
5^-4=0.0016
0.0016 as a fraction is 1/625
Hope this helps! :)
Need help with 3 and 4
Answer:
Bruh I can hardly see
Step-by-step explanation:
Maybe u should try copy and pasting everything there and putting it on the question page that will make it MUCH more visible
Sry I couldnt answer tho
Have a Good day! UwU
The ___ of the seven and a number, 7g? Quotient difference product or sum.
Answer:
product
Step-by-step explanation:
a number right beside a variable = multiplication.
if this helped, please mark brainliest.
Teresa purchased a prepaid phone card for $15 . Long distance calls cost 24 cents a minute using this card. Teresa used her card only once to make a long distance call. If the remaining credit on her card is $3.96 , how many minutes did her call last?
Answer:
46 minutes
Step-by-step explanation:
Teresa purchased a prepaid phone for $15
Long distance calls cost 24 cents a minute using this card
She used the card just once to make a long distance call
The remaining credit on her card was $3.96
Therefore the minutes in which her call lasted can be calculated as follows
Let x represent the minutes
15 - 24/100x= 3.96
15-0.24x= 3.96
-0.24x= 3.96-15
-0.24x= -11.04
x= 11.04/0.24
x = 46
Hence Teresa call lasted for 46 minutes
is the following relation a function?
Х Y
-1 -2
2 3
3 1
6 -2
0 Yes
O No
Answer:
yes
Step-by-step explanation:
each x-value has only one y-value